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23755040 = 255148469
BaseRepresentation
bin101101010011…
…1100100100000
31122200212210022
41122213210200
522040130130
62205053012
7405625451
oct132474440
948625708
1023755040
1112455571
127b57168
134bc964a
143225128
1521437e5
hex16a7920

23755040 has 24 divisors (see below), whose sum is σ = 56121660. Its totient is φ = 9501952.

The previous prime is 23755037. The next prime is 23755087. The reversal of 23755040 is 4055732.

It can be written as a sum of positive squares in 2 ways, for example, as 23001616 + 753424 = 4796^2 + 868^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74075 + ... + 74394.

Almost surely, 223755040 is an apocalyptic number.

23755040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23755040 is an abundant number, since it is smaller than the sum of its proper divisors (32366620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23755040 is a wasteful number, since it uses less digits than its factorization.

23755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148484 (or 148476 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 23755040 is about 4873.9142380637. The cubic root of 23755040 is about 287.4651854504.

The spelling of 23755040 in words is "twenty-three million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 148469 296938 593876 742345 1187752 1484690 2375504 2969380 4751008 5938760 11877520 23755040